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Finding the Third Proportional to 57,362 and 85,431

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Solution

The third proportional to 57,362 and 85,431 is: 127,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,362 : 85,431 = 85,431 : x
  2. Step 2: Convert to fraction form
    57,362/85,431 = 85,431/x
  3. Step 3: Cross multiply
    57,362x = 85,431 × 85,431
  4. Step 4: Simplify right side
    57,362x = 7,298,455,761
  5. Step 5: Solve for x
    x = 7,298,455,761/57,362
  6. Step 6: Final answer
    x = 127,235.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.